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Finding the Third Proportional to 4,511,120 and 9,465,088

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Solution

The third proportional to 4,511,120 and 9,465,088 is: 19,859,345.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,511,120 : 9,465,088 = 9,465,088 : x
  2. Step 2: Convert to fraction form
    4,511,120/9,465,088 = 9,465,088/x
  3. Step 3: Cross multiply
    4,511,120x = 9,465,088 × 9,465,088
  4. Step 4: Simplify right side
    4,511,120x = 89,587,890,847,744
  5. Step 5: Solve for x
    x = 89,587,890,847,744/4,511,120
  6. Step 6: Final answer
    x = 19,859,345.54

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.